Roleset dissatisfy.01 Verbnet Class: 1 "make unhappy":

Roles:

Arg0:causer of dissatisfaction


Arg1:dissatisfied party

Examples:

person: ns tense: present aspect: ns voice: passive form: participle


dissatisfy with (-)
If parents are dissatisfied [*-1] with a school, they should have the option of switching to another.
REL:	dissatisfied
Arg1:	[*-1] -> parents
Arg0-with:	a school

person: ns tense: ns aspect: ns voice: passive form: participle


dissatisfy by (-)
His grip on power unraveled this summer as thousands of his countrymen, dissatisfied [*] by the harshness of his rule, fled to the West.
REL:	dissatisfied
Arg1:	[*] -> thousands of his countrymen
Arg0-by:	the harshness of his rule

Could make with-phrase and by-phrase different arg#s, but I don't see that they can cooccur.